Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cq |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
171422122536000 = 26 · 32 · 53 · 79 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-473390,125324100] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:15580:1] |
Generators of the group modulo torsion |
j |
290735890851223/4248000 |
j-invariant |
L |
14.55740826926 |
L(r)(E,1)/r! |
Ω |
0.52262133220245 |
Real period |
R |
1.547477788999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86730bz1 |
Quadratic twists by: -7 |